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Invariant Means on Banach Spaces

100%

Łukasik R.

Annales Mathematicae Silesianae

2017

tom 31

nr 1

127-140

In this paper we study some generalization of invariant means on Banach spaces. We give some sufficient condition for the existence of the invariant mean and some examples where we have not it.

Some classes of almost convergent paranormed sequence spaces defined by Orlicz functions

100%

Isik M.

Demonstratio Mathematica

2012

tom Vol. 45, nr 3

585-592

In this paper we define (...), the sequence spaces on a seminormed complex linear space, using an Orlicz function. We give various properties and some inclusion relations on this space.

On some generalized invariant means and their application to the stability of the Hyers-Ulam type

100%

Badora R.

Annales Polonici Mathematici

1993

tom 58

nr 2

147-159

We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.

The semi normed space defined by a double gai sequence of modulus function

75%

Subramanian N. , Misra U.

Fasciculi Mathematici

2010

tom Nr 45

111-120

In this paper we introduce the sequence spaces x2m(p, q, u), using an modulus function M and defined over a semi normed space (X, q); semi normed by q. We study some properties of these sequence spaces and obtain some inclusion relations.

Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces

75%

Lau A. T.-M. , Zhang Y.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2018

tom 17

Strong invariant A-summability with respect to a sequence of modulus functions in seminormed space

63%

Bhardwaj V. , Bala I.

Demonstratio Mathematica

2008

tom Vol. 41, nr 4

869-877

The object of this paper is to introduce some new strongly invariant A-summable sequence spaces defined by a sequence of modulus functions T = (fk) in a seminormed space, when A = (ank) is a non-negative regular matrix. Various algebraic and topological properties of these spaces, and some inclusion relations between these spaces have been discussed. Finally, we study some relations between ^4-invariant statisti-cal convergence and strong invariant A-summability with respect to a seąuence of modulus functions in a seminormed space.